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Binary binomial equivalence via hyperplane arrangements

math.CO · 2026-06-22 · unverdicted · novelty 6.0

An explicit arrangement of n hyperplanes in 3-space indexes binary 2-binomial equivalence classes of binary words of length n, with class sizes given by coefficients of Gaussian binomials.

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  • Binary binomial equivalence via hyperplane arrangements math.CO · 2026-06-22 · unverdicted · none · ref 16

    An explicit arrangement of n hyperplanes in 3-space indexes binary 2-binomial equivalence classes of binary words of length n, with class sizes given by coefficients of Gaussian binomials.